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24 May, 16:00

A 30.0 kg cart travelling at 5.00 m/s collides with a 50.0 kg cart. Both carts immediately come to rest after the collision. What was the velocity of the 50.0 kg cart

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  1. 24 May, 17:14
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    30m/s

    Explanation:

    From the principle of conservation of momentum; it implies momentum before collision is same after collision hence

    M1U1 + M2U2 = M1V1 + M2V1

    Since both objects comes to rest after collision it means the final velocity is 0 and this has been represented as V1; hence the right side of the equation evaluates to zero.

    We can then rewrite the equation as; M1U1 + M2U2=0

    Let U1 and U2 be the respective velocity for M1 = 30kg and M2 = 50kg respectively.

    Hence the equation becomes on substituting M1, M2 and U1.

    We have;

    30*5 + 50*U2 = 0

    150 + 50U2=0

    50U2 = - 150

    U2 = - 150/50 = - 30m/s

    Ignore the - ve sign which shows the direction of the 50kg mass was opposite that of 30kg
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